天福彩票网

报告人

郑大彬

举办单位

科技处、学科办、研究生处、数统学院

报告题目

Constructions of involutions over finite fields

报告时间

2019115 1100-1200

报告地点

南区数统楼406

报告人

所属单位

湖北大学数学与统计学院

报告人职称/职务

教授,副院长

报告内容简介

An involution over finite fields is a permutation polynomial whose inverse is itself. Owing to this property, involutions over finite fields have been widely used in applications such as cryptography and coding theory. Following the idea in [1] to characterize the involutory behavior of the generalized cyclotomic mappings, gives a more concise criterion for $x^rh(x^s)\in \bF_q[x]$ being involutions over the finite field~$\bF_q$, where $r\geq 1$ and $s\,|\, (q-1)$. By using this criterion we propose a general method to construct involutions of the form $x^rh(x^s)$ over $\bF_q$ from given involutions over some subgroups of $\bF_q^*$ by solving congruent and linear equations over finite fields. Then, many classes of explicit involutions of the form $x^rh(x^s)$ over $\bF_q$ are obtained.

 


上一篇:下一篇:

作者:科技处发布时间:2019-11-05

返回原图
/

 

  • <tr id='439f1'><strong id='41071'></strong><small id='7a532'></small><button id='3dba0'></button><li id='a6081'><noscript id='f4c99'><big id='71793'></big><dt id='06d92'></dt></noscript></li></tr><ol id='4c0c9'><option id='e57cf'><table id='af426'><blockquote id='aadc1'><tbody id='7b836'></tbody></blockquote></table></option></ol><u id='0e8f0'></u><kbd id='2c02b'><kbd id='af59f'></kbd></kbd>

    <code id='4cca8'><strong id='3a8d0'></strong></code>

    <fieldset id='4e282'></fieldset>
          <span id='a8d30'></span>

              <ins id='ed2cd'></ins>
              <acronym id='47b4a'><em id='315b7'></em><td id='c7035'><div id='b1967'></div></td></acronym><address id='294b1'><big id='bdea8'><big id='1c09d'></big><legend id='7140f'></legend></big></address>

              <i id='e20e0'><div id='7dc56'><ins id='65ac4'></ins></div></i>
              <i id='f4d70'></i>
            1. <dl id='da05a'></dl>
              1. <blockquote id='0b25b'><q id='278de'><noscript id='ec464'></noscript><dt id='edddd'></dt></q></blockquote><noframes id='e4a0a'><i id='85870'></i>